But can I take them home? What if they have a collar with a name tag that has my neighbor's address on it? Or what if they're wearing a leash being held by a person who won't stop saying "Please put my cat back down"?
An unsupervised cat outside can be detrimental to the environment
An unsupervised cat outside could get gravely injured/killed by vehicles or pos human beings or pos human beings in vehicles or wild animals or drown in sewers or drown in open bodies of water or eat something poisonous or pick up a disease that might be deadly/hard to fight